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Question: Consider the farmer in Exercise whose field borders the river. Assume he wants the area of the plot to be 800 square feet. What should its dimensions be if he wants to use the least amount of fencing?
Exercise: (a) A farmer has a field bordering a straight river. He wants to design a rectangular plot for an organic crop with the river acting as a natural border. If 400 feet of fencing will be used on the three other sides, what should the dimensions of the plot be if its area is to be maximized?
(b) What are the dimensions if the river side is also to be fenced?
One resident of this community has an old, working refrigerator whose food-storage compartment has the following dimensions: 44 inches from top to bottom, 24 inches from left to right, and 17 inches from front to back. Does the food-storage capaci..
Find a value of v that makes the line perpendicular to the plane P. Find a value of v that makes the line parallel to the plane P. Find values for v and p0 that make the line lie in the plane P
If I flip a coin 1,000,000 times, what are the odds of it beings heads AND tails 500,000 times?
If a and b are fixed numbers, find parametric equations for the curve that consists of all possible positions of the point P in the figure, using the angle θ as the parameter.
Part A: In your own words, defineconsistent, inconsistent, dependent, and independentin terms of how they relate to systems of equations. Part B: Systems of equations have a wide application in the world around us. What is one way someone could u..
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
Evaluate the integral in (a) by Romberg integration. Estimate how many function evaluations Romberg integration will require to achieve 12-digit accuracy.
Construct a tree diagram to represent this sitution. List the sample space. Determine the exact probability of creating a min license plate with a J. solution should be in reduce fraction form
What are the tips you use to form equations from the word problems? How do you approach that process?
A major MNE has incredible knowledge resources but they are often underutilized. The reason: often the knowledge that is needed within one part of the organization exists within that organization but normally there is no system by which those who ..
Cancer deaths: Suppose for a set of counties i ∈ {1,..., n} we have information on the population size. Identify the posterior distribution of θ given data (Y1,.X1),...., (Yn, Xn) and a gamma(a, b) prior distribution.
Calculate the coefficient of multiple determinations
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